76309 ÷ 4 = 19077 R1
No problem, we've got 76309 and 4 for the division.

Step 1:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 7 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Step 2:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 36 from 36 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 4

Step 3:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 190
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 4:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 1907
Subtract 28 from 30 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 5:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 19077
Subtract 28 from 29 to get 1.

The final result is 19077 with a remainder of 1.